Pith Number

pith:BKKK4LZP

pith:2017:BKKK4LZPXKJFXB6ULA7W2RZKOI

not attested not anchored not stored refs pending

Computing the number of realizations of a Laman graph

Christoph Koutschan, Georg Grasegger, Jose Capco, Josef Schicho, Matteo Gallet, Niels Lubbes

arxiv:1707.03633 v2 · 2017-07-12 · math.CO · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKKK4LZPXKJFXB6ULA7W2RZKOI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:33:06.407943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a94ae2f2fba925b87d4583f6d472a7206eb692cd1dab0e44a5ebea7462cb03d

Aliases

arxiv: 1707.03633 · arxiv_version: 1707.03633v2 · doi: 10.48550/arxiv.1707.03633 · pith_short_12: BKKK4LZPXKJF · pith_short_16: BKKK4LZPXKJFXB6U · pith_short_8: BKKK4LZP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BKKK4LZPXKJFXB6ULA7W2RZKOI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0a94ae2f2fba925b87d4583f6d472a7206eb692cd1dab0e44a5ebea7462cb03d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9be5ac9f4e3e961d3715fc38e155d2243420bf7760a9bf68b2b6075e93d5f153",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-12T10:31:13Z",
    "title_canon_sha256": "97b9122d5495528d46b4f1824991240a9966202f8475a99c0d446c1fef87e0a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03633",
    "kind": "arxiv",
    "version": 2
  }
}